Exponential Command

Exponential( <Lambda>, x ): Creates cumulative density function (cdf) of exponential distribution with parameter lambda.
Exponential( <Lambda>, x, <Boolean Cumulative> ): If Cumulative is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution.
Exponential( <Lambda>, <Variable Value> ): Calculates the value of cumulative distribution function of Exponential distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Exponential distribution with parameter lambda.

Returns the probability for a given x-coordinate’s value (or area under the Exponential distribution curve to the left of the given x-coordinate).

CAS Syntax

Exponential( <Lambda>, <Variable Value> ): Calculates the value of cumulative distribution function of exponential distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Exponential distribution with parameter lambda.

Exponential(2, 1) yields \(1 - \frac{1}\{e^\{2} } \), which is approximately 0.86.